计算4×7/1+7×10/1+10×13/1···+2014×2017/1= 快
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1/4*7+1/7*10+1/10*13+1/13*16+……+1/2014*2017
=1/3*(1/4-1/7)+1/3*(1/7-1/10)+1/3*(1/10-1/13)+1/3*(1/13-1/16)+……+1/3*(1/2014-2017)
=1/3*(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16+……+1/2014-1/2017)
=1/3*(1-1/2017)
=1/3*2016/2017
=672/2017
=1/3*(1/4-1/7)+1/3*(1/7-1/10)+1/3*(1/10-1/13)+1/3*(1/13-1/16)+……+1/3*(1/2014-2017)
=1/3*(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16+……+1/2014-1/2017)
=1/3*(1-1/2017)
=1/3*2016/2017
=672/2017
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